Generalized models from Beta(p,2) densities with strong allee effect: dynamical approach

A dynamical approach to study the behaviour of generalized populational growth models from Bets(p, 2) densities, with strong Allee effect, is presented. The dynamical analysis of the respective unimodal maps is performed using symbolic dynamics techniques. The complexity of the correspondent discrete dynamical systems is measured in terms of topological entropy. Different populational dynamics regimes are obtained when the intrinsic growth rates are modified: extinction, bistability, chaotic semistability and essential extinction.

Reinfecção pelo Toxoplasma gondii Nicolle & Manceaux, 1909 em camundongos e gatos: estudo experimental

A reinfecção pelo Toxoplasma gondii foi estudada, experimentalmente, em 27 camundongos albinos e 25 gatos domésticos. A infecção e a reinfecção foram comprovadas por sinais clínicos, anticorpos sangüíneos à reação de Sabin & Feldman > 1/4, recuperação do parasita e, nos gatos, também pela eliminação de oocistos. Nos camundongos a mortalidade foi de 56%. A primo-infecção por cepa de baixa virulência ou a infecção por cepa mais virulenta, atenuada pela sulfamonometoxina, deram proteção à reinfecção por cepa mais virulenta, mortal em poucos dias. Esta proteção foi demonstrada pela sobrevivência de camundongos e menor mortalidade, 12,5'%. Nos gatos a mortalidade foi de 28%, A resposta sorológica à primo-infecção ocorreu em todos. Após a reinfecção houve elevação de títulos em 64% dos gatos, permanência em 32% e queda em 4%. A eliminação de oocistos foi observada em 60% dos gatos e só após inoculação de cistos, por via digestiva. A reeliminação após reinfecção, ocorreu em 25% dos gatos. Não foi observada eliminação após a 3.ª inoculação. Em 88,2% dos gatos houve recuperação do parasita em camundongo, mais freqüente nos linfonodos mesentéricos e no intestino delgado, persistindo neste cerca de 14 meses. Foi constatada certa relação entre o bom estado físico dos gatos e a resposta sorológica, a eliminação e a reeliminação de oocistos. Apesar da persistência de anticorpos sangüíneos a reinfecção experimental dos gatos foi observada, porém a reeliminação de oocistos foi pouco freqüente e em pequena quantidade.

Reduced schedule of human anti rabies immunization with Fuenzalida & Palacios vaccine

The present study evaluates the humoral and cellular immune responses in 35 volunteers submited to short antirabies vaccination schedules with the Fuenzalida & Palacios vaccine based on the administration of doses on non consecutive days. The volunteers were divided into two groups. The first group received a total number of five doses given on days 0, 4, 7, 20 and 35. The other group received four doses, the first one being a double dose given on day 0 and than three other single doses on days 7, 20 and 35. The evaluation of humoral immune response was carried out by serum neutralization (SN) and indirect immunofluorescense (IIF) tests, while the cellular immune response was evaluated by lymphoblastic transformation assay (LTA) and skin test (ST). According to our results these reduced schedules elicited early and effective humoral and cellulafimmune responses to rabies antigen suggesting that new reduced schedules should be extensively studied in order to give the proper bases to the proposition of changes in the current long-term schedule.

Project, modelling and simulation of air stripping columns for the treatment of groundwater contaminated with volatile organic compounds

Volatile organic compounds are a common source of groundwater contamination that can be easily removed by air stripping in columns with random packing and using a counter-current flow between the phases. This work proposes a new methodology for the column design for any particular type of packing and contaminant avoiding the necessity of a pre-defined diameter used in the classical approach. It also renders unnecessary the employment of the graphical Eckert generalized correlation for pressure drop estimates. The hydraulic features are previously chosen as a project criterion and only afterwards the mass transfer phenomena are incorporated, in opposition to conventional approach. The design procedure was translated into a convenient algorithm using C++ as programming language. A column was built in order to test the models used either in the design or in the simulation of the column performance. The experiments were fulfilled using a solution of chloroform in distilled water. Another model was built to simulate the operational performance of the column, both in steady state and in transient conditions. It consists in a system of two partial non linear differential equations (distributed parameters). Nevertheless, when flows are steady, the system became linear, although there is not an evident solution in analytical terms. In steady state the resulting system of ODE can be solved, allowing for the calculation of the concentration profile in both phases inside the column. In transient state the system of PDE was numerically solved by finite differences, after a previous linearization.

A New Approach in the Design of Air Stripping Columns for the Treatment of Groundwater Contaminated With Volatile Organic Compounds

Volatile organic compounds are a common source of groundwater contamination that can be easily removed by air stripping in columns with random packing and using a counter-current flow between the phases. This work proposes a new methodology for column design for any type of packing and contaminant which avoids the necessity of an arbitrary chosen diameter. It also avoids the employment of the usual graphical Eckert correlations for pressure drop. The hydraulic features are previously chosen as a project criterion. The design procedure was translated into a convenient algorithm in C++ language. A column was built in order to test the design, the theoretical steady-state and dynamic behaviour. The experiments were conducted using a solution of chloroform in distilled water. The results allowed for a correction in the theoretical global mass transfer coefficient previously estimated by the Onda correlations, which depend on several parameters that are not easy to control in experiments. For best describe the column behaviour in stationary and dynamic conditions, an original mathematical model was developed. It consists in a system of two partial non linear differential equations (distributed parameters). Nevertheless, when flows are steady, the system became linear, although there is not an evident solution in analytical terms. In steady state the resulting ODE can be solved by analytical methods, and in dynamic state the discretization of the PDE by finite differences allows for the overcoming of this difficulty. To estimate the contaminant concentrations in both phases in the column, a numerical algorithm was used. The high number of resulting algebraic equations and the impossibility of generating a recursive procedure did not allow the construction of a generalized programme. But an iterative procedure developed in an electronic worksheet allowed for the simulation. The solution is stable only for similar discretizations values. If different values for time/space discretization parameters are used, the solution easily becomes unstable. The system dynamic behaviour was simulated for the common liquid phase perturbations: step, impulse, rectangular pulse and sinusoidal. The final results do not configure strange or non-predictable behaviours.

Termoestabilidade da vacina contra a raiva, tipo Fuenzalida & Palacios, uso humano

Dez lotes de vacina contra a Raiva, tipo Fuenzalida & Palacios, líquida, uso humano, produzidos no Instituto Butantan, foram estocados às temperaturas de 45, 37, 28 e 2-8ºC. Amostras de cada lote, colhidas a intervalos de tempo que variavam com a temperatura de estocagem, tiveram sua potência (valor antigênico) determinada pelo método do N.I.H. Foram consideradas satisfatórias vacinas portadoras de um valor antigênico (VA) >0,3. Foi verificado que apenas um dos lotes apresentou VA inferior ao mínimo requerido, após 2 h de exposição a 45ºC. Todos os lotes mantiveram VA satisfatório até 3 dias de armazenamento de 37ºC, enquanto que, a 28 e 2-8ºC, o mesmo ocorreu com 10 e 360 dias, respectivamente. À temperatura ideal de armazenamento (2-8ºC), 100% dos lotes retiveram a potência mínima por período de tempo mais longo (16 meses) do que o prazo de validade (12 meses), o que permite sugerir que a validade da vacina contra a Raiva, que nos países da América Latina e Caribe é de 6 a 12 meses, poderia ser ampliada para 16 meses, de modo a evitar o descarte de produto em condições de uso.

Sarasinula marginata (Semper, 1885) (Mollusca, Soleolifera) de Belo Horizonte (MG, Brazil) como hospedeira intermediária potencial do Angiostrongylus costaricencis Morera & Céspedes, 1971

Espécimes de Sarasinula marginata foram coletadas em hortas e jardins residenciais de Belo Horizonte, Minas Gerais. A suscetibilidade desta espécie de lesma ao Angiostrongylus costaricensis foi verificada em laboratório, utilizando-se 15 exemplares da geração F1. Foi demonstrada uma positividade de 80,0%

Triatoma delpontei Romaña & Abalos, 1947 (Hemiptera, Triatominae) en el estado brasileño de "Rio Grande do Sul"

Triatoma delpontei Romaña y Abalos, 1947 es una especie de triatomineo silvestre, de marcada ornitofilia, que se asocia preferentemente al psitácido Myiopsitta monachus (Boddaert, 1783) colonizando sus nidos. Especie que se identifica con zonas de forestas subtropicales secas o xerofíticas propias de las provincias biogeográficas continentales chaqueñas, es notificada para Brasil en la microregión de la campaña de Río Grande do Sul (barra de Quaraí, Municipio de Uruguaiana).

Multiple Roots of Systems of Equations by Repulsion Merit Functions

In this paper we address the problem of computing multiple roots of a system of nonlinear equations through the global optimization of an appropriate merit function. The search procedure for a global minimizer of the merit function is carried out by a metaheuristic, known as harmony search, which does not require any derivative information. The multiple roots of the system are sequentially determined along several iterations of a single run, where the merit function is accordingly modified by penalty terms that aim to create repulsion areas around previously computed minimizers. A repulsion algorithm based on a multiplicative kind penalty function is proposed. Preliminary numerical experiments with a benchmark set of problems show the effectiveness of the proposed method.

Reduced schedule of human anti-rabies immunization with Fuenzalida & Palacios vaccine: additional data

It was reevaluated a reduced schedule for anti-rabies post-exposure immunization with newborn mice nervous tissue vaccine (Fuenzalida 8c Palacios) in a group of 30 non exposed volunteers. The vaccine was administered by intramuscular injections on days zero, 2, 4, 16 and 27, in the deltoid area. Antibody levels were determinated by a simplified serum neutralization microtest on days zero, 16 and 37. On days 16 and 37 the antibody levels of the whole group was >0.5 IU/ml and >1.0 IU/ml, respectively. The cell mediated immunity was precociously detected (on day 4) by the delayed type hipersensitivity skin test. Our results show that this reduced schedule elicited an early and effective humoral and cellular immune response. However it is necessary other studies with larger groups of vaccinees in order to obtain definitive conclusion.

Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium

An abstract theory on general synchronization of a system of several oscillators coupled by a medium is given. By generalized synchronization we mean the existence of an invariant manifold that allows a reduction in dimension. The case of a concrete system modeling the dynamics of a chemical solution on two containers connected to a third container is studied from the basics to arbitrary perturbations. Conditions under which synchronization occurs are given. Our theoretical results are complemented with a numerical study.

On derivatives and norms of generalized matrix functions and respective symmetric powers

In recent papers, the authors obtained formulas for directional derivatives of all orders, of the immanant and of the m-th xi-symmetric tensor power of an operator and a matrix, when xi is a character of the full symmetric group. The operator norm of these derivatives was also calculated. In this paper, similar results are established for generalized matrix functions and for every symmetric tensor power.

Soliton-type and other travelling wave solutions for an improved class of nonlinear sixth-order Boussinesq equations

An improved class of nonlinear bidirectional Boussinesq equations of sixth order using a wave surface elevation formulation is derived. Exact travelling wave solutions for the proposed class of nonlinear evolution equations are deduced. A new exact travelling wave solution is found which is the uniform limit of a geometric series. The ratio of this series is proportional to a classical soliton-type solution of the form of the square of a hyperbolic secant function. This happens for some values of the wave propagation velocity. However, there are other values of this velocity which display this new type of soliton, but the classical soliton structure vanishes in some regions of the domain. Exact solutions of the form of the square of the classical soliton are also deduced. In some cases, we find that the ratio between the amplitude of this wave and the amplitude of the classical soliton is equal to 35/36. It is shown that different families of travelling wave solutions are associated with different values of the parameters introduced in the improved equations.

Local Fractional Variational Iteration Method for Local Fractional Poisson Equations in Two Independent Variables

The local fractional Poisson equations in two independent variables that appear in mathematical physics involving the local fractional derivatives are investigated in this paper. The approximate solutions with the nondifferentiable functions are obtained by using the local fractional variational iteration method.

Fractional Order Generalized Information

This paper formulates a novel expression for entropy inspired in the properties of Fractional Calculus. The characteristics of the generalized fractional entropy are tested both in standard probability distributions and real world data series. The results reveal that tuning the fractional order allow an high sensitivity to the signal evolution, which is useful in describing the dynamics of complex systems. The concepts are also extended to relative distances and tested with several sets of data, confirming the goodness of the generalization.